Stable Integration of the Dynamic Cosserat Equations with Application to Hair Modeling

Abstract

In this paper we propose a new method for stable numerical integration of the dynamic Cosserat equations for rods, which constitute a mechanical framework for the physically based modeling of slender structures like DNA strands, drill strings, marine cables or human hair. Our integration method is well-established in the field of structural dynamics and has the major advantage of unconditional stability as well as user controllable numerical damping. We demonstrate its advantages in the context of fiber-based modeling of human hair. To our knowledge this approach has not been used in the computer graphics community before.

Keywords: Cosserat rods, hair modelling

Bibtex

@ARTICLE{SobottkaLayWeber2008a,
author = {Sobottka, Gerrit and Lay Herrrera, Tomas and Weber, Andreas},
pages = {73--80},
title = {Stable Integration of the Dynamic Cosserat Equations with Application to Hair Modeling},
journal = {Journal of WSCG},
volume = {16},
year = {2008},
keywords = {Cosserat rods, hair modelling},
abstract = {In this paper we propose a new method for stable numerical integration of the dynamic Cosserat
equations for rods, which constitute a mechanical framework for the physically based modeling of
slender structures like DNA strands, drill strings, marine cables or human hair. Our integration
method is well-established in the field of structural dynamics and has the major advantage of
unconditional stability as well as user controllable numerical damping. We demonstrate its
advantages in the context of fiber-based modeling of human hair. To our knowledge this approach has
not been used in the computer graphics community before.},
issn = {1213-6972},
url = {http://wscg.zcu.cz/wscg2008/Papers_2008/journal/C43-full.pdf}
}